Remarks on twisted noncommutative quantum field theory

TL;DR

This paper reviews twisted noncommutative quantum field theory, analyzing its mathematical structure and clarifying misconceptions about UV/IR-mixing, emphasizing the rigidity of the twisted framework and its implications for predictions.

Contribution

It provides a comprehensive analysis of the twisted structure in noncommutative quantum field theory and clarifies its role in UV/IR-mixing phenomena.

Findings

Twisted structure is highly rigid, limiting predictive power.

Twisted structure does not cause UV/IR-mixing.

Clarifies misconceptions about the role of twisting in quantum field theory.

Abstract

We review recent results on twisted noncommutative quantum field theory by embedding it into a general framework for the quantization of systems with a twisted symmetry. We discuss commutation relations in this setting and show that the twisted structure is so rigid that it is hard to derive any predictions, unless one gives up general principles of quantum theory. It is also shown that the twisted structure is not responsible for the presence or absence of UV/IR-mixing, as claimed in the literature.